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Universal T/B Scaling Behavior of Heavy Fermion Compounds (Brief Review)

  • Condensed Matter
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Abstract

In this brief review, we address manifestations of the T/B scaling behavior of heavy-fermion (HF) compounds, where T and B are the temperature and magnetic field, respectively. Using experimental data and the fermion condensation theory, we show that this scaling behavior is typical of HF compounds including HF metals, quasicrystals, and quantum spin liquids. We demonstrate that such scaling behavior holds down to the lowest temperature and field values, so that T/B varies in a wide range, provided the HF compound is located near the topological fermion condensation quantum phase transition (FCQPT). Due to the topological properties of FCQPT, the effective mass M* exhibits a universal behavior, and diverges as T goes to zero. Such a behavior of M* has important technological applications. We also explain how to extract the universal scaling behavior from experimental data collected on different heavy-fermion compounds. As an example, we consider the HF metal YbCo2Ge4, and show that its scaling behavior is violated at low temperatures. Our results obtained show good agreement with experimental facts.

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Acknowledgments

We are grateful to V.A. Khodel for stimulating discussions.

Author information

Authors and Affiliations

  1. Petersburg Nuclear Physics Institute, National Research Center Kurchatov Institute, Gatchina, 188300, Russia

    V. R. Shaginyan

  2. Clark Atlanta University, Atlanta, GA, 30314, USA

    V. R. Shaginyan, A. Z. Msezane & G. S. Japaridze

  3. McDonnell Center for the Space Sciences and Department of Physics, Washington University, St. Louis, MO, 63130, USA

    J. W. Clark

  4. Centro de Investigação em Matemática e Aplicações, University of Madeira, 9020-105, Funchal, Madeira, Portugal

    J. W. Clark

  5. National Research University Higher School of Economics, St. Petersburg, 194100, Russia

    Y. S. Leevik

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  1. V. R. Shaginyan
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  4. G. S. Japaridze
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Corresponding author

Correspondence to V. R. Shaginyan.

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Funding

This work was partly supported by U.S. Department of Energy, Division of Chemical Sciences, Office of Basic Energy Sciences, Office of Energy Research. J.W. Clark is indebted to the University of Madeira for gracious hospitality during periods of extended residence.

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Shaginyan, V.R., Msezane, A.Z., Clark, J.W. et al. Universal T/B Scaling Behavior of Heavy Fermion Compounds (Brief Review). Jetp Lett. 112, 657–665 (2020). https://doi.org/10.1134/S0021364020220026

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  • DOI: https://doi.org/10.1134/S0021364020220026

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